We're dividing 44557 by 3 
Our goal is to divide 44557 by 3.

Step 1:
The number 3 fits into 4 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 3 from 4 leaves us with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 3

Going ahead to step 2:
The number 3 fits into 14 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 14.0
Subtract 12 from 14 to get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 3

On to step 3:
If we divide 25 by 3, we get 8 and a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 148.0
Subtract 24 from 25 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 3

On to step 4:
3 can be fit into 15 5 times, resulting in a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 1485.0
Deduct 15 from 15 and we're left with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 3

Let's proceed to step 5:
If we divide 7 by 3, we get 2 and a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 14852.0
Subtracting 6 from 7 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
3 goes into 10 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 14852.3
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 14852.33
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 14852.33 with a balance of 0.001.